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The figure below shows the set up for a mass balance problem. The depth of flow in this system does not change with distance x. The density of the fluid does change in a known fashion (an equation is given) over a section 100 units long. Velocity changes in an unknown fashion. Mass is conserved. x=0 x=100 х p=998+0.1 x h v(x) h || v(x+4x) WWIIIIIII11/
Select the two correct answers to these questions: (a) What is the differential equation for the mass balance? (b) If thе velocity at x = O is Vo, what is the velocity at x=100? а. • (i) р да др =hy. ot дх 10080 (i) и. V х=100 9980 = 0 ob. (i) (998 +0. Ix) xhx 100 =hxyx (998 +0. Ix) 100 (i) и, 100 = 100 vo д(vр) х= С. (i) дh р- =h де дх 9980 И. x= 0 10080 д др (і) р- = hy. ді дх (0) м. 100 = 9980 (i) и, = V 0 x=100 10080 е. дh (ур) (і) р- - =h- ot дх ii (0) м. 100 10080 V, 9980 0